Deformations of (Bi) tensor Categories

1996/12/05 by Louis Crane, Crane, Louis, David N. Yetter +2 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9612011

12 pages latex

arxiv created 1996/12/05 · arxiv updated 2009/11/30

Abstract

We define the cohomology and formal deformation theories for algebra and bialgebra categories. We suggest some approaches to finding nontrivial deformations of the categories associated to the quantum groups by the work of Lusztig.

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• Modular data: the algebraic combinatorics of conformal field theory
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